diff --git a/pandas/tests/frame/methods/test_convert_dtypes.py b/pandas/tests/frame/methods/test_convert_dtypes.py
index 082ef025992dd..c2b1016e88402 100644
--- a/pandas/tests/frame/methods/test_convert_dtypes.py
+++ b/pandas/tests/frame/methods/test_convert_dtypes.py
@@ -167,3 +167,11 @@ def test_convert_dtypes_pyarrow_to_np_nullable(self):
         result = ser.convert_dtypes(dtype_backend="numpy_nullable")
         expected = pd.DataFrame(range(2), dtype="Int32")
         tm.assert_frame_equal(result, expected)
+
+    def test_convert_dtypes_pyarrow_timestamp(self):
+        # GH 54191
+        pytest.importorskip("pyarrow")
+        ser = pd.Series(pd.date_range("2020-01-01", "2020-01-02", freq="1min"))
+        expected = ser.astype("timestamp[ms][pyarrow]")
+        result = expected.convert_dtypes(dtype_backend="pyarrow")
+        tm.assert_series_equal(result, expected)